IM Alg1.5.1 Practice: Growing and Growing

[size=150]Which expression equals [math]2^7[/math]?[/size]
Evaluate the expression [math]3\cdot5^x[/math] when [math]x[/math] is 2.
The graph shows the yearly balance, in dollars, in an investment account.
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[/img][/center][br]What is the initial balance in the account?
Is the account growing by the same number of dollars each year? Explain how you know.[br]
A second investment account starts with $2,000 and grows by $150 each year. Sketch the values of this account on the graph.
How does the growth of balances in the two account balances compare?[br]
[size=150]Jada rewrites [math]5\cdot3^x[/math] as [math]15x[/math]. Do you agree with Jada that these are equivalent expressions? Explain your reasoning.[/size]
Investment account 1 starts with a balance of $200 and doubles every year. Investment account 2 starts with $1,000 and increases by $100 each year.
How long does it take for each account to double?
How long does it take for each account to double again?
How does the growth in these two accounts compare? Explain your reasoning.[br]
A study of 100 recent high school graduates investigates a link between their childhood reading habits and achievement in high school.
Participants are asked if they read books every night with another person when they were ages 2 to 5, as well as their grade average for all of their high school classes. The results are represented in the [br]table.[br][center][img]data:image/png;base64,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[/img][/center][br][br]What does the 21 in the table represent?
What does the 10 in the table represent?[br]
[size=150]Lin says that a snack machine is like a function because it outputs an item for each code input. Explain why Lin is correct.[/size]
At a gas station, a gallon of gasoline costs $3.50.
The relationship between the dollar cost of gasoline and the gallons purchased can be described with a function. [br]Identify the input variable and the output variable in this function.
Describe the function with a sentence of the form "______ is a function of ______."
Identify an input-output pair of the function and explain its meaning in this situation.
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Information: IM Alg1.5.1 Practice: Growing and Growing